Atkin-Lehner |
2+ 3- 5+ 23+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
84870b |
Isogeny class |
Conductor |
84870 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
72960 |
Modular degree for the optimal curve |
Δ |
-10909783890 = -1 · 2 · 37 · 5 · 233 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 2 -6 5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,360,-4374] |
[a1,a2,a3,a4,a6] |
Generators |
[81:702:1] |
Generators of the group modulo torsion |
j |
7066834559/14965410 |
j-invariant |
L |
4.5564268100045 |
L(r)(E,1)/r! |
Ω |
0.66544197331798 |
Real period |
R |
3.4236094121972 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008251 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28290y1 |
Quadratic twists by: -3 |